6th Grade Math Guide

Extension

Lesson 5.1 STEM Adventure: Students put their geometry skills to work as an urban forester. They help calculate tree loss due to construction, plan areas for reforestation, and design furniture using salvaged wood from deforested urban land.

REVEAL MATH AND CORE ALIGNMENT

Standard

Section(s)

6.G.1

5.1, 5.2, 5.3, 5.4

6.G.2

5.5

6.G.4

5.6, 5.7, 5.8

6.EE.2

5.1, 5.2, 5.3, 5.4, 5.5, 5.7, 5.8

LEARNING INTENTIONS

●​ I can find the area of parallelograms and rhombuses by composing them into rectangles. ●​ I can find the area of parallelograms and rhombuses by using a formula. ●​ I can attend to precision to find a missing dimension by using the area formula.

●​ I can find the area of a triangle by composing it into a parallelogram and by using a formula. ●​ I can attend to precision to find the missing dimension of a triangle by using the area formula. ●​ I can find the area of a trapezoid by decomposing it into triangles or composing it into a rectangle. ●​ I can make use of structure to find the area of a trapezoid by composing it into a rectangle or by using a formula. ●​ I can find the volume of rectangular prisms by filling them with unit cubes. ●​ I can find the volume of a rectangular prism by using a formula. ●​ I can attend to precision to find an unknown dimension of a rectangular prism by using the volume formula. ●​ I can use a three-dimensional figure to create a two-dimensional net. ●​ I can look for and make use of structure when using a two-dimensional net to find a three-dimensional figure.

●​ I can use nets and a formula to determine the surface area of rectangular prisms. ●​ I can use nets and a formula to determine the surface area of triangular prisms. ●​ I can look for and make use of structure to find the surface area of prisms. ●​ I can use nets and formulas to find the surface area of square pyramids ●​ I can use nets and formulas to find the surface area of triangular pyramids. ●​ I can look for and make use of structure to find the surface area of pyramids.

KEY VOCABULARY

●​ Diagonal ●​ Perpendicular ●​ Compute ●​ Determine ●​ Dimensions ●​ Composing ●​ Compare ●​ Explicit

●​ Isosceles Trapezoid ●​ Accurate ●​ Highlight ●​ Volume ●​ Reinforce ●​ Topic ●​ Net ●​ Pyramid

●​ Three-

●​ Infer ●​ Lateral ●​ Pyramid ●​ Denote ●​ Evaluate

Dimensional

●​ Two-

Dimensional

●​ Reveal ●​ Visual ●​ Congruent ●​ Surface Area ●​ Differentiate